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Need help with figuring out if this is a system of equations

Need help with figuring out if this is a system of equations-example-1

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Given:

The system is:


\begin{cases}{2x+3y+10z=9} \\ {-x+2y+5z=1} \\ {3x+z=5}\end{cases}

The solution is (2,3,-1)

Find-:

The (2,3,-1) is the solution of function or not

Explanation-:

The solution is (2,3,-1) which means:


\begin{gathered} x=2 \\ \\ y=3 \\ \\ z=-1 \end{gathered}

Check the value for the given expression:


\begin{gathered} 2x+3y+10z=9 \\ \\ 2(2)+3(3)+10(-1)=9 \\ \\ 4+9-10=9 \\ \\ 3\\e9 \end{gathered}

So, it is not a solution of system.

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